Overview
- Covers the exciting development in the field of Feynman integrals of the last 15 years
- Offers a pedagogical style: Students at the beginning of their master degree should be able to follow the book
- Includes many exercises with solutions
Part of the book series: UNITEXT for Physics (UNITEXTPH)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (16 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed.
The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.
Reviews
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Feynman Integrals
Book Subtitle: A Comprehensive Treatment for Students and Researchers
Authors: Stefan Weinzierl
Series Title: UNITEXT for Physics
DOI: https://doi.org/10.1007/978-3-030-99558-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-99557-7Published: 12 June 2022
Softcover ISBN: 978-3-030-99560-7Published: 12 June 2023
eBook ISBN: 978-3-030-99558-4Published: 11 June 2022
Series ISSN: 2198-7882
Series E-ISSN: 2198-7890
Edition Number: 1
Number of Pages: XIV, 857
Number of Illustrations: 110 b/w illustrations, 32 illustrations in colour
Topics: Elementary Particles, Quantum Field Theory, Mathematical Physics, Quantum Physics, Theoretical, Mathematical and Computational Physics, Algebraic Geometry